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| 183_notes:work [2021/03/12 02:32] – [The Formal Definition of Work] stumptyl | 183_notes:work [2026/01/04 20:24] (current) – hallstein | ||
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| In force vs displacement graphs, the limitations are more strict. Because the work done (green area under the curve below) is a result of a dot product between two vectors, we lose information about the direction of the forces and displacement when we compute it. So, these graphs are useful to think about the force in a particular direction and a displacement in that or opposite that direction. | In force vs displacement graphs, the limitations are more strict. Because the work done (green area under the curve below) is a result of a dot product between two vectors, we lose information about the direction of the forces and displacement when we compute it. So, these graphs are useful to think about the force in a particular direction and a displacement in that or opposite that direction. | ||
| - | For example, in the figure below, this might represent the net force acting on a cart in the x-direction. Sometimes, that force is in the direction of the displacement (positive work represented by the green shaded area above the y=0 line). At other times that force is opposite the direction of the displacement (negative work represented by the green shaded area below the y=0 line). | + | For example, in the figure below, this might represent the net force acting on a cart in the x-direction. Sometimes, that force is in the direction of the displacement (positive work represented by the blue shaded area above the y=0 line). At other times that force is opposite the direction of the displacement (negative work represented by the red shaded area below the y=0 line). |
| - | {{url> | + | {{url> |
| ==== Work by the Local Gravitational Force ==== | ==== Work by the Local Gravitational Force ==== | ||